5.103 Problem number 8595

\[ \int \frac {98-28 x+30 x^2-4 x^3+2 x^4+294 x^5-84 x^6+90 x^7-12 x^8+6 x^9+e^{\frac {1}{7-x+x^2}} (-1+2 x)}{49-14 x+15 x^2-2 x^3+x^4} \, dx \]

Optimal antiderivative \[ 2+2 x +x^{6}-{\mathrm e}^{\frac {1}{x^{2}-x +7}} \]

command

Int[(98 - 28*x + 30*x^2 - 4*x^3 + 2*x^4 + 294*x^5 - 84*x^6 + 90*x^7 - 12*x^8 + 6*x^9 + E^(7 - x + x^2)^(-1)*(-1 + 2*x))/(49 - 14*x + 15*x^2 - 2*x^3 + x^4),x]

Rubi 4.17.3 under Mathematica 13.3.1 output

\[ \int \frac {98-28 x+30 x^2-4 x^3+2 x^4+294 x^5-84 x^6+90 x^7-12 x^8+6 x^9+e^{\frac {1}{7-x+x^2}} (-1+2 x)}{49-14 x+15 x^2-2 x^3+x^4} \, dx \]

Rubi 4.16.1 under Mathematica 13.3.1 output

\[ x^6-e^{\frac {1}{x^2-x+7}}+2 x \]